g(x)=x^2-1 f(x)=4x+4 Fin d (gcirc f)(x)

Name: G(x)=x^2-1 F(x)=4x+4 Fin D (gcirc F)(x)
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Question

g(x)=x^2-1 f(x)=4x+4 Fin d (gcirc f)(x)

Answer 1

To find the composition of the functions \( g(x) \) and \( f(x) \), denoted as \( (g \circ f)(x) \), we need to substitute \( f(x) \) into \( g(x) \).Given:

First, we find \( f(x) \):

Next, we substitute \( f(x) \) into \( g(x) \):

Now, we substitute

into \( g(x) \):

We expand \( (4x + 4)^2 \):

So,

Therefore, the composition \( (g \circ f)(x) \) is:

Question

g(x)=x^2-1 f(x)=4x+4 Fin d (gcirc f)(x)

Solution

Resposta